Eight families of quadratic Euler sums of odd order are reduced to zeta values and polylogarithms, but order-7 reductions remain incomplete for two unresolved nonlinear sums.
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On an infinite number of nonlinear Euler sums
Eight families of quadratic Euler sums of odd order are reduced to zeta values and polylogarithms, but order-7 reductions remain incomplete for two unresolved nonlinear sums.